Zhang Keke, Liao Xinhao. Theory and Modeling of Rotating Fluids: Convection, Inertial Waves and Precession

Cambridge University Press, 2017. — 547 p. — (Cambridge Monographs on Mechanics). — ISBN: 9780521850094.Rotation plays an essential role in the structure and variation of large-scale flows taking place in the interiors, atmospheres and oceans of planets. Knowledge of common hydrodynamical processes in rotating systems constitutes a major necessary component not only in oceanography, but also in planetary and astrophysical sciences. There have been few systematic accounts of the theory of rotating fluids in the more than quarter of a century since Chandrasekhar (1961) and Greenspan (1968) wrote their classic monographs. The second edition of Greenspan’s book, Greenspan (1990), was not a major revision. Other volumes, such as the book edited by Roberts and Soward (1978), while containing some interesting articles, did not present the subject in a unified fashion. More recent books by Vanyo (1993) and Boubnov and Golitsyn (1995) mainly concentrate on experimental studies of general rotating flows. Many important developments have taken place in the study of rotating fluids and it has long been necessary to fill a significant gap in the existing literature.Fundamentals of Rotating Fluids
Inertial Waves in Uniformly Rotating SystemsInertial Modes in Rotating Narrow-gap Annuli
Inertial Modes in Rotating Cylinders
Inertial Modes in Rotating Spheres
Inertial Modes in Rotating Oblate Spheroids
A Proof of Completeness of Inertial Modes in Rotating Channels
Indications of Completeness of Inertial Modes in Rotating Spheres
Precession and Libration in Non-uniformly Rotating SystemsFluid Motion in Precessing Narrow-gap Annuli
Fluid Motion in Precessing Circular Cylinders
Fluid Motion in Precessing Spheres
Fluid Motion in Longitudinally Librating Spheres
Fluid Motion in Precessing Oblate Spheroids
Fluid Motion in Latitudinally Librating Spheroids
Convection in Uniformly Rotating SystemsConvection in Rotating Narrow-gap Annuli